5901664860 has 960 divisors, whose sum is σ = 25044096000. Its totient is φ = 1152216576.

The previous prime is 5901664843. The next prime is 5901664877. The reversal of 5901664860 is 684661095.

5901664860 is a `hidden beast` number, since 5 + 9 + 0 + 166 + 486 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5901664843) and next prime (5901664877).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 137247999 + ... + 137248041.

It is an arithmetic number, because the mean of its divisors is an integer number (26087600).

Almost surely, 2^5901664860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5901664860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522048000).

5901664860 is an abundant number, since it is smaller than the sum of its proper divisors (19142431140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5901664860 is a wasteful number, since it uses less digits than its factorization.

5901664860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5901664860 is about 76822.2940297932. The cubic root of 5901664860 is about 1807.1388166246.

It can be divided in two parts, 5901 and 664860, that added together give a square (670761 = 819²).

The spelling of 5901664860 in words is "five billion, nine hundred one million, six hundred sixty-four thousand, eight hundred sixty".